13665488900 has 72 divisors (see below), whose sum is σ = 33917579136. Its totient is φ = 4681555200.

The previous prime is 13665488831. The next prime is 13665488927. The reversal of 13665488900 is 988456631.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949760 + ... + 964040.

It is an arithmetic number, because the mean of its divisors is an integer number (471077488).

Almost surely, 2^13665488900 is an apocalyptic number.

13665488900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13665488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16958789568).

13665488900 is an abundant number, since it is smaller than the sum of its proper divisors (20252090236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13665488900 is a wasteful number, since it uses less digits than its factorization.

13665488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15669 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 13665488900 in words is "thirteen billion, six hundred sixty-five million, four hundred eighty-eight thousand, nine hundred".